A combination lock uses three distinctive numbers between 0

A combination lock uses three distinctive numbers between 0 and 49 inclusive. How many different ways can a sequence of three numbers be selected?

Solution

Number different ways can a sequence of three numbers be selected , We have 3 blanks to fill with any of the number in between 0 and 49 inclusive.

First Blank : It can be fill with any of the 50 ( 0 and 40 ) possible numbers

Second Blank : Remaining are 49

Third Blank : Remaning are 48

Total Possible Combination is = 50*49*48=117600